1 | MODULE production_e_mod |
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2 | |
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3 | !------------------------------------------------------------------------------! |
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4 | ! Current revisions: |
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5 | ! ----------------- |
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6 | ! initialization of u_0, v_0 |
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7 | ! |
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8 | ! Former revisions: |
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9 | ! ----------------- |
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10 | ! $Id: production_e.f90 759 2011-09-15 13:58:31Z raasch $ |
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11 | ! |
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12 | ! 667 2010-12-23 12:06:00Z suehring/gryschka |
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13 | ! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng |
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14 | ! |
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15 | ! 449 2010-02-02 11:23:59Z raasch |
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16 | ! test output from rev 410 removed |
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17 | ! |
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18 | ! 388 2009-09-23 09:40:33Z raasch |
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19 | ! Bugfix: wrong sign in buoyancy production of ocean part in case of not using |
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20 | ! the reference density (only in 3D routine production_e) |
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21 | ! Bugfix to avoid zero division by km_neutral |
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22 | ! |
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23 | ! 208 2008-10-20 06:02:59Z raasch |
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24 | ! Bugfix concerning the calculation of velocity gradients at vertical walls |
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25 | ! in case of diabatic conditions |
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26 | ! |
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27 | ! 187 2008-08-06 16:25:09Z letzel |
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28 | ! Change: add 'minus' sign to fluxes obtained from subroutine wall_fluxes_e for |
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29 | ! consistency with subroutine wall_fluxes |
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30 | ! |
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31 | ! 124 2007-10-19 15:47:46Z raasch |
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32 | ! Bugfix: calculation of density flux in the ocean now starts from nzb+1 |
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33 | ! |
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34 | ! 108 2007-08-24 15:10:38Z letzel |
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35 | ! Bugfix: wrong sign removed from the buoyancy production term in the case |
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36 | ! use_reference = .T., |
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37 | ! u_0 and v_0 are calculated for nxr+1, nyn+1 also (otherwise these values are |
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38 | ! not available in case of non-cyclic boundary conditions) |
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39 | ! Bugfix for ocean density flux at bottom |
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40 | ! |
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41 | ! 97 2007-06-21 08:23:15Z raasch |
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42 | ! Energy production by density flux (in ocean) added |
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43 | ! use_pt_reference renamed use_reference |
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44 | ! |
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45 | ! 75 2007-03-22 09:54:05Z raasch |
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46 | ! Wall functions now include diabatic conditions, call of routine wall_fluxes_e, |
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47 | ! reference temperature pt_reference can be used in buoyancy term, |
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48 | ! moisture renamed humidity |
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49 | ! |
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50 | ! 37 2007-03-01 08:33:54Z raasch |
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51 | ! Calculation extended for gridpoint nzt, extended for given temperature / |
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52 | ! humidity fluxes at the top, wall-part is now executed in case that a |
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53 | ! Prandtl-layer is switched on (instead of surfaces fluxes switched on) |
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54 | ! |
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55 | ! RCS Log replace by Id keyword, revision history cleaned up |
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56 | ! |
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57 | ! Revision 1.21 2006/04/26 12:45:35 raasch |
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58 | ! OpenMP parallelization of production_e_init |
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59 | ! |
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60 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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61 | ! Initial revision |
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62 | ! |
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63 | ! |
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64 | ! Description: |
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65 | ! ------------ |
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66 | ! Production terms (shear + buoyancy) of the TKE |
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67 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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68 | ! not considered well! |
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69 | !------------------------------------------------------------------------------! |
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70 | |
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71 | USE wall_fluxes_mod |
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72 | |
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73 | PRIVATE |
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74 | PUBLIC production_e, production_e_init |
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75 | |
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76 | LOGICAL, SAVE :: first_call = .TRUE. |
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77 | |
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78 | REAL, DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0, v_0 |
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79 | |
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80 | INTERFACE production_e |
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81 | MODULE PROCEDURE production_e |
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82 | MODULE PROCEDURE production_e_ij |
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83 | END INTERFACE production_e |
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84 | |
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85 | INTERFACE production_e_init |
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86 | MODULE PROCEDURE production_e_init |
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87 | END INTERFACE production_e_init |
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88 | |
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89 | CONTAINS |
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90 | |
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91 | |
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92 | !------------------------------------------------------------------------------! |
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93 | ! Call for all grid points |
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94 | !------------------------------------------------------------------------------! |
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95 | SUBROUTINE production_e |
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96 | |
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97 | USE arrays_3d |
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98 | USE cloud_parameters |
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99 | USE control_parameters |
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100 | USE grid_variables |
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101 | USE indices |
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102 | USE statistics |
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103 | |
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104 | IMPLICIT NONE |
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105 | |
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106 | INTEGER :: i, j, k |
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107 | |
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108 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
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109 | k1, k2, km_neutral, theta, temp |
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110 | |
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111 | ! REAL, DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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112 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
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113 | |
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114 | ! |
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115 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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116 | !-- vertical walls, if neccessary |
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117 | !-- So far, results are slightly different from the ij-Version. |
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118 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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119 | ! IF ( topography /= 'flat' ) THEN |
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120 | ! CALL wall_fluxes_e( usvs, 1.0, 0.0, 0.0, 0.0, wall_e_y ) |
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121 | ! CALL wall_fluxes_e( wsvs, 0.0, 0.0, 1.0, 0.0, wall_e_y ) |
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122 | ! CALL wall_fluxes_e( vsus, 0.0, 1.0, 0.0, 0.0, wall_e_x ) |
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123 | ! CALL wall_fluxes_e( wsus, 0.0, 0.0, 0.0, 1.0, wall_e_x ) |
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124 | ! ENDIF |
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125 | |
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126 | ! |
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127 | !-- Calculate TKE production by shear |
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128 | DO i = nxl, nxr |
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129 | |
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130 | DO j = nys, nyn |
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131 | DO k = nzb_diff_s_outer(j,i), nzt |
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132 | |
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133 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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134 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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135 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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136 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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137 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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138 | |
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139 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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140 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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141 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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142 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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143 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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144 | |
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145 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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146 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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147 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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148 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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149 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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150 | |
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151 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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152 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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153 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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154 | |
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155 | IF ( def < 0.0 ) def = 0.0 |
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156 | |
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157 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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158 | |
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159 | ENDDO |
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160 | ENDDO |
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161 | |
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162 | IF ( prandtl_layer ) THEN |
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163 | |
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164 | ! |
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165 | !-- Position beneath wall |
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166 | !-- (2) - Will allways be executed. |
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167 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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168 | DO j = nys, nyn |
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169 | |
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170 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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171 | THEN |
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172 | |
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173 | k = nzb_diff_s_inner(j,i) - 1 |
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174 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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175 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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176 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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177 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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178 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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179 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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180 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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181 | |
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182 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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183 | ! |
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184 | !-- Inconsistency removed: as the thermal stratification is |
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185 | !-- not taken into account for the evaluation of the wall |
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186 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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187 | !-- be used for the evaluation of the velocity gradients dudy |
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188 | !-- and dwdy |
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189 | !-- Note: The validity of the new method has not yet been |
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190 | !-- shown, as so far no suitable data for a validation |
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191 | !-- has been available |
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192 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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193 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
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194 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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195 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
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196 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
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197 | 0.5 * dy |
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198 | IF ( km_neutral > 0.0 ) THEN |
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199 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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200 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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201 | ELSE |
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202 | dudy = 0.0 |
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203 | dwdy = 0.0 |
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204 | ENDIF |
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205 | ELSE |
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206 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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207 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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208 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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209 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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210 | ENDIF |
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211 | |
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212 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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213 | ! |
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214 | !-- Inconsistency removed: as the thermal stratification is |
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215 | !-- not taken into account for the evaluation of the wall |
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216 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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217 | !-- be used for the evaluation of the velocity gradients dvdx |
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218 | !-- and dwdx |
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219 | !-- Note: The validity of the new method has not yet been |
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220 | !-- shown, as so far no suitable data for a validation |
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221 | !-- has been available |
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222 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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223 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
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224 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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225 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
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226 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
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227 | 0.5 * dx |
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228 | IF ( km_neutral > 0.0 ) THEN |
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229 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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230 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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231 | ELSE |
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232 | dvdx = 0.0 |
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233 | dwdx = 0.0 |
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234 | ENDIF |
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235 | ELSE |
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236 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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237 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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238 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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239 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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240 | ENDIF |
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241 | |
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242 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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243 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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244 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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245 | |
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246 | IF ( def < 0.0 ) def = 0.0 |
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247 | |
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248 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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249 | |
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250 | |
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251 | ! |
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252 | !-- (3) - will be executed only, if there is at least one level |
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253 | !-- between (2) and (4), i.e. the topography must have a |
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254 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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255 | !-- already been calculated for (2). |
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256 | !-- 'wall only: use wall functions' |
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257 | |
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258 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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259 | |
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260 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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261 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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262 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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263 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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264 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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265 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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266 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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267 | |
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268 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
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269 | ! |
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270 | !-- Inconsistency removed: as the thermal stratification |
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271 | !-- is not taken into account for the evaluation of the |
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272 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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273 | !-- must not be used for the evaluation of the velocity |
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274 | !-- gradients dudy and dwdy |
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275 | !-- Note: The validity of the new method has not yet |
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276 | !-- been shown, as so far no suitable data for a |
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277 | !-- validation has been available |
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278 | km_neutral = kappa * ( usvs(k)**2 + & |
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279 | wsvs(k)**2 )**0.25 * 0.5 * dy |
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280 | IF ( km_neutral > 0.0 ) THEN |
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281 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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282 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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283 | ELSE |
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284 | dudy = 0.0 |
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285 | dwdy = 0.0 |
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286 | ENDIF |
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287 | ELSE |
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288 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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289 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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290 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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291 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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292 | ENDIF |
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293 | |
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294 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
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295 | ! |
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296 | !-- Inconsistency removed: as the thermal stratification |
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297 | !-- is not taken into account for the evaluation of the |
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298 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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299 | !-- must not be used for the evaluation of the velocity |
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300 | !-- gradients dvdx and dwdx |
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301 | !-- Note: The validity of the new method has not yet |
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302 | !-- been shown, as so far no suitable data for a |
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303 | !-- validation has been available |
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304 | km_neutral = kappa * ( vsus(k)**2 + & |
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305 | wsus(k)**2 )**0.25 * 0.5 * dx |
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306 | IF ( km_neutral > 0.0 ) THEN |
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307 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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308 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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309 | ELSE |
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310 | dvdx = 0.0 |
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311 | dwdx = 0.0 |
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312 | ENDIF |
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313 | ELSE |
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314 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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315 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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316 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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317 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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318 | ENDIF |
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319 | |
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320 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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321 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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322 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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323 | |
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324 | IF ( def < 0.0 ) def = 0.0 |
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325 | |
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326 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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327 | |
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328 | ENDDO |
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329 | |
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330 | ENDIF |
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331 | |
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332 | ENDDO |
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333 | |
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334 | ! |
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335 | !-- (4) - will allways be executed. |
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336 | !-- 'special case: free atmosphere' (as for case (0)) |
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337 | DO j = nys, nyn |
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338 | |
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339 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) & |
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340 | THEN |
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341 | |
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342 | k = nzb_diff_s_outer(j,i)-1 |
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343 | |
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344 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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345 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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346 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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347 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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348 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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349 | |
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350 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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351 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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352 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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353 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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354 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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355 | |
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356 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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357 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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358 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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359 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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360 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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361 | |
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362 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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363 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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364 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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365 | |
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366 | IF ( def < 0.0 ) def = 0.0 |
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367 | |
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368 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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369 | |
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370 | ENDIF |
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371 | |
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372 | ENDDO |
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373 | |
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374 | ! |
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375 | !-- Position without adjacent wall |
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376 | !-- (1) - will allways be executed. |
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377 | !-- 'bottom only: use u_0,v_0' |
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378 | DO j = nys, nyn |
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379 | |
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380 | IF ( ( wall_e_x(j,i) == 0.0 ) .AND. ( wall_e_y(j,i) == 0.0 ) ) & |
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381 | THEN |
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382 | |
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383 | k = nzb_diff_s_inner(j,i)-1 |
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384 | |
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385 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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386 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
387 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
388 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
389 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
390 | |
---|
391 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
392 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
393 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
394 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
395 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
396 | |
---|
397 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
398 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
399 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
400 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
401 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
402 | |
---|
403 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
404 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
405 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
406 | |
---|
407 | IF ( def < 0.0 ) def = 0.0 |
---|
408 | |
---|
409 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
410 | |
---|
411 | ENDIF |
---|
412 | |
---|
413 | ENDDO |
---|
414 | |
---|
415 | ELSEIF ( use_surface_fluxes ) THEN |
---|
416 | |
---|
417 | DO j = nys, nyn |
---|
418 | |
---|
419 | k = nzb_diff_s_outer(j,i)-1 |
---|
420 | |
---|
421 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
422 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
423 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
424 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
425 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
426 | |
---|
427 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
428 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
429 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
430 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
431 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
432 | |
---|
433 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
434 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
435 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
436 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
437 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
438 | |
---|
439 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
440 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
441 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
442 | |
---|
443 | IF ( def < 0.0 ) def = 0.0 |
---|
444 | |
---|
445 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
446 | |
---|
447 | ENDDO |
---|
448 | |
---|
449 | ENDIF |
---|
450 | |
---|
451 | ! |
---|
452 | !-- Calculate TKE production by buoyancy |
---|
453 | IF ( .NOT. humidity ) THEN |
---|
454 | |
---|
455 | IF ( use_reference ) THEN |
---|
456 | |
---|
457 | IF ( ocean ) THEN |
---|
458 | ! |
---|
459 | !-- So far in the ocean no special treatment of density flux in |
---|
460 | !-- the bottom and top surface layer |
---|
461 | DO j = nys, nyn |
---|
462 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
463 | tend(k,j,i) = tend(k,j,i) + & |
---|
464 | kh(k,j,i) * g / rho_reference * & |
---|
465 | ( rho(k+1,j,i)-rho(k-1,j,i) ) * dd2zu(k) |
---|
466 | ENDDO |
---|
467 | ENDDO |
---|
468 | |
---|
469 | ELSE |
---|
470 | |
---|
471 | DO j = nys, nyn |
---|
472 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
473 | tend(k,j,i) = tend(k,j,i) - & |
---|
474 | kh(k,j,i) * g / pt_reference * & |
---|
475 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
476 | ENDDO |
---|
477 | |
---|
478 | IF ( use_surface_fluxes ) THEN |
---|
479 | k = nzb_diff_s_inner(j,i)-1 |
---|
480 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
---|
481 | ENDIF |
---|
482 | |
---|
483 | IF ( use_top_fluxes ) THEN |
---|
484 | k = nzt |
---|
485 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
486 | tswst(j,i) |
---|
487 | ENDIF |
---|
488 | ENDDO |
---|
489 | |
---|
490 | ENDIF |
---|
491 | |
---|
492 | ELSE |
---|
493 | |
---|
494 | IF ( ocean ) THEN |
---|
495 | ! |
---|
496 | !-- So far in the ocean no special treatment of density flux in |
---|
497 | !-- the bottom and top surface layer |
---|
498 | DO j = nys, nyn |
---|
499 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
500 | tend(k,j,i) = tend(k,j,i) + & |
---|
501 | kh(k,j,i) * g / rho(k,j,i) * & |
---|
502 | ( rho(k+1,j,i)-rho(k-1,j,i) ) * dd2zu(k) |
---|
503 | ENDDO |
---|
504 | ENDDO |
---|
505 | |
---|
506 | ELSE |
---|
507 | |
---|
508 | DO j = nys, nyn |
---|
509 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
510 | tend(k,j,i) = tend(k,j,i) - & |
---|
511 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
512 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
513 | ENDDO |
---|
514 | |
---|
515 | IF ( use_surface_fluxes ) THEN |
---|
516 | k = nzb_diff_s_inner(j,i)-1 |
---|
517 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
518 | ENDIF |
---|
519 | |
---|
520 | IF ( use_top_fluxes ) THEN |
---|
521 | k = nzt |
---|
522 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
523 | ENDIF |
---|
524 | ENDDO |
---|
525 | |
---|
526 | ENDIF |
---|
527 | |
---|
528 | ENDIF |
---|
529 | |
---|
530 | ELSE |
---|
531 | |
---|
532 | DO j = nys, nyn |
---|
533 | |
---|
534 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
535 | |
---|
536 | IF ( .NOT. cloud_physics ) THEN |
---|
537 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
538 | k2 = 0.61 * pt(k,j,i) |
---|
539 | ELSE |
---|
540 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
541 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
542 | k2 = 0.61 * pt(k,j,i) |
---|
543 | ELSE |
---|
544 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
545 | temp = theta * t_d_pt(k) |
---|
546 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
547 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
548 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
549 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
550 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
551 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
552 | ENDIF |
---|
553 | ENDIF |
---|
554 | |
---|
555 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
556 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
557 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
558 | ) * dd2zu(k) |
---|
559 | ENDDO |
---|
560 | |
---|
561 | ENDDO |
---|
562 | |
---|
563 | IF ( use_surface_fluxes ) THEN |
---|
564 | |
---|
565 | DO j = nys, nyn |
---|
566 | |
---|
567 | k = nzb_diff_s_inner(j,i)-1 |
---|
568 | |
---|
569 | IF ( .NOT. cloud_physics ) THEN |
---|
570 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
571 | k2 = 0.61 * pt(k,j,i) |
---|
572 | ELSE |
---|
573 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
574 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
575 | k2 = 0.61 * pt(k,j,i) |
---|
576 | ELSE |
---|
577 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
578 | temp = theta * t_d_pt(k) |
---|
579 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
580 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
581 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
582 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
583 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
584 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
585 | ENDIF |
---|
586 | ENDIF |
---|
587 | |
---|
588 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
589 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
590 | ENDDO |
---|
591 | |
---|
592 | ENDIF |
---|
593 | |
---|
594 | IF ( use_top_fluxes ) THEN |
---|
595 | |
---|
596 | DO j = nys, nyn |
---|
597 | |
---|
598 | k = nzt |
---|
599 | |
---|
600 | IF ( .NOT. cloud_physics ) THEN |
---|
601 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
602 | k2 = 0.61 * pt(k,j,i) |
---|
603 | ELSE |
---|
604 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
605 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
606 | k2 = 0.61 * pt(k,j,i) |
---|
607 | ELSE |
---|
608 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
609 | temp = theta * t_d_pt(k) |
---|
610 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
611 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
612 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
613 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
614 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
615 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
616 | ENDIF |
---|
617 | ENDIF |
---|
618 | |
---|
619 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
620 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
621 | ENDDO |
---|
622 | |
---|
623 | ENDIF |
---|
624 | |
---|
625 | ENDIF |
---|
626 | |
---|
627 | ENDDO |
---|
628 | |
---|
629 | END SUBROUTINE production_e |
---|
630 | |
---|
631 | |
---|
632 | !------------------------------------------------------------------------------! |
---|
633 | ! Call for grid point i,j |
---|
634 | !------------------------------------------------------------------------------! |
---|
635 | SUBROUTINE production_e_ij( i, j ) |
---|
636 | |
---|
637 | USE arrays_3d |
---|
638 | USE cloud_parameters |
---|
639 | USE control_parameters |
---|
640 | USE grid_variables |
---|
641 | USE indices |
---|
642 | USE statistics |
---|
643 | |
---|
644 | IMPLICIT NONE |
---|
645 | |
---|
646 | INTEGER :: i, j, k |
---|
647 | |
---|
648 | REAL :: def, dudx, dudy, dudz, dvdx, dvdy, dvdz, dwdx, dwdy, dwdz, & |
---|
649 | k1, k2, km_neutral, theta, temp |
---|
650 | |
---|
651 | REAL, DIMENSION(nzb:nzt+1) :: usvs, vsus, wsus, wsvs |
---|
652 | |
---|
653 | ! |
---|
654 | !-- Calculate TKE production by shear |
---|
655 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
656 | |
---|
657 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
658 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
659 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
660 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
661 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
662 | |
---|
663 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
664 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
665 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
666 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
667 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
668 | |
---|
669 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
670 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
671 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
672 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
673 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
674 | |
---|
675 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
676 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
677 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
678 | |
---|
679 | IF ( def < 0.0 ) def = 0.0 |
---|
680 | |
---|
681 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
682 | |
---|
683 | ENDDO |
---|
684 | |
---|
685 | IF ( prandtl_layer ) THEN |
---|
686 | |
---|
687 | IF ( ( wall_e_x(j,i) /= 0.0 ) .OR. ( wall_e_y(j,i) /= 0.0 ) ) THEN |
---|
688 | |
---|
689 | ! |
---|
690 | !-- Position beneath wall |
---|
691 | !-- (2) - Will allways be executed. |
---|
692 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
693 | k = nzb_diff_s_inner(j,i)-1 |
---|
694 | |
---|
695 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
696 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
697 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
698 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
699 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
700 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
701 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
702 | |
---|
703 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
704 | ! |
---|
705 | !-- Inconsistency removed: as the thermal stratification |
---|
706 | !-- is not taken into account for the evaluation of the |
---|
707 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
708 | !-- must not be used for the evaluation of the velocity |
---|
709 | !-- gradients dudy and dwdy |
---|
710 | !-- Note: The validity of the new method has not yet |
---|
711 | !-- been shown, as so far no suitable data for a |
---|
712 | !-- validation has been available |
---|
713 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
714 | usvs, 1.0, 0.0, 0.0, 0.0 ) |
---|
715 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
716 | wsvs, 0.0, 0.0, 1.0, 0.0 ) |
---|
717 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25 * & |
---|
718 | 0.5 * dy |
---|
719 | IF ( km_neutral > 0.0 ) THEN |
---|
720 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
721 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
722 | ELSE |
---|
723 | dudy = 0.0 |
---|
724 | dwdy = 0.0 |
---|
725 | ENDIF |
---|
726 | ELSE |
---|
727 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
728 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
729 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
730 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
731 | ENDIF |
---|
732 | |
---|
733 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
734 | ! |
---|
735 | !-- Inconsistency removed: as the thermal stratification |
---|
736 | !-- is not taken into account for the evaluation of the |
---|
737 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
738 | !-- must not be used for the evaluation of the velocity |
---|
739 | !-- gradients dvdx and dwdx |
---|
740 | !-- Note: The validity of the new method has not yet |
---|
741 | !-- been shown, as so far no suitable data for a |
---|
742 | !-- validation has been available |
---|
743 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
744 | vsus, 0.0, 1.0, 0.0, 0.0 ) |
---|
745 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
746 | wsus, 0.0, 0.0, 0.0, 1.0 ) |
---|
747 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25 * & |
---|
748 | 0.5 * dx |
---|
749 | IF ( km_neutral > 0.0 ) THEN |
---|
750 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
751 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
752 | ELSE |
---|
753 | dvdx = 0.0 |
---|
754 | dwdx = 0.0 |
---|
755 | ENDIF |
---|
756 | ELSE |
---|
757 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
758 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
759 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
760 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
761 | ENDIF |
---|
762 | |
---|
763 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
764 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
765 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
766 | |
---|
767 | IF ( def < 0.0 ) def = 0.0 |
---|
768 | |
---|
769 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
770 | |
---|
771 | ! |
---|
772 | !-- (3) - will be executed only, if there is at least one level |
---|
773 | !-- between (2) and (4), i.e. the topography must have a |
---|
774 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
775 | !-- already been calculated for (2). |
---|
776 | !-- 'wall only: use wall functions' |
---|
777 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
778 | |
---|
779 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
780 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
781 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
782 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
783 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
784 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
785 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
786 | |
---|
787 | IF ( wall_e_y(j,i) /= 0.0 ) THEN |
---|
788 | ! |
---|
789 | !-- Inconsistency removed: as the thermal stratification |
---|
790 | !-- is not taken into account for the evaluation of the |
---|
791 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
792 | !-- must not be used for the evaluation of the velocity |
---|
793 | !-- gradients dudy and dwdy |
---|
794 | !-- Note: The validity of the new method has not yet |
---|
795 | !-- been shown, as so far no suitable data for a |
---|
796 | !-- validation has been available |
---|
797 | km_neutral = kappa * ( usvs(k)**2 + & |
---|
798 | wsvs(k)**2 )**0.25 * 0.5 * dy |
---|
799 | IF ( km_neutral > 0.0 ) THEN |
---|
800 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
801 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
802 | ELSE |
---|
803 | dudy = 0.0 |
---|
804 | dwdy = 0.0 |
---|
805 | ENDIF |
---|
806 | ELSE |
---|
807 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
808 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
809 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
810 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
811 | ENDIF |
---|
812 | |
---|
813 | IF ( wall_e_x(j,i) /= 0.0 ) THEN |
---|
814 | ! |
---|
815 | !-- Inconsistency removed: as the thermal stratification |
---|
816 | !-- is not taken into account for the evaluation of the |
---|
817 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
818 | !-- must not be used for the evaluation of the velocity |
---|
819 | !-- gradients dvdx and dwdx |
---|
820 | !-- Note: The validity of the new method has not yet |
---|
821 | !-- been shown, as so far no suitable data for a |
---|
822 | !-- validation has been available |
---|
823 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
824 | wsus(k)**2 )**0.25 * 0.5 * dx |
---|
825 | IF ( km_neutral > 0.0 ) THEN |
---|
826 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
827 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
828 | ELSE |
---|
829 | dvdx = 0.0 |
---|
830 | dwdx = 0.0 |
---|
831 | ENDIF |
---|
832 | ELSE |
---|
833 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
834 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
835 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
836 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
837 | ENDIF |
---|
838 | |
---|
839 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
840 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
841 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
842 | |
---|
843 | IF ( def < 0.0 ) def = 0.0 |
---|
844 | |
---|
845 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
846 | |
---|
847 | ENDDO |
---|
848 | |
---|
849 | ! |
---|
850 | !-- (4) - will allways be executed. |
---|
851 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
852 | k = nzb_diff_s_outer(j,i)-1 |
---|
853 | |
---|
854 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
855 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
856 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
857 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
858 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
859 | |
---|
860 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
861 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
862 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
863 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
864 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
865 | |
---|
866 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
867 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
868 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
869 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
870 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
871 | |
---|
872 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
873 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
874 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
875 | |
---|
876 | IF ( def < 0.0 ) def = 0.0 |
---|
877 | |
---|
878 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
879 | |
---|
880 | ELSE |
---|
881 | |
---|
882 | ! |
---|
883 | !-- Position without adjacent wall |
---|
884 | !-- (1) - will allways be executed. |
---|
885 | !-- 'bottom only: use u_0,v_0' |
---|
886 | k = nzb_diff_s_inner(j,i)-1 |
---|
887 | |
---|
888 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
889 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
890 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
891 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
892 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
893 | |
---|
894 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
895 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
896 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
897 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
898 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
899 | |
---|
900 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
901 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
902 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
903 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
904 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
905 | |
---|
906 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
907 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
908 | + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
909 | |
---|
910 | IF ( def < 0.0 ) def = 0.0 |
---|
911 | |
---|
912 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
913 | |
---|
914 | ENDIF |
---|
915 | |
---|
916 | ELSEIF ( use_surface_fluxes ) THEN |
---|
917 | |
---|
918 | k = nzb_diff_s_outer(j,i)-1 |
---|
919 | |
---|
920 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
921 | dudy = 0.25 * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
922 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
923 | dudz = 0.5 * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
924 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
925 | |
---|
926 | dvdx = 0.25 * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
927 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
928 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
929 | dvdz = 0.5 * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
930 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
931 | |
---|
932 | dwdx = 0.25 * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
933 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
934 | dwdy = 0.25 * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
935 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
936 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
937 | |
---|
938 | def = 2.0 * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
939 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
940 | dvdz**2 + 2.0 * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
941 | |
---|
942 | IF ( def < 0.0 ) def = 0.0 |
---|
943 | |
---|
944 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
945 | |
---|
946 | ENDIF |
---|
947 | |
---|
948 | ! |
---|
949 | !-- Calculate TKE production by buoyancy |
---|
950 | IF ( .NOT. humidity ) THEN |
---|
951 | |
---|
952 | IF ( use_reference ) THEN |
---|
953 | |
---|
954 | IF ( ocean ) THEN |
---|
955 | ! |
---|
956 | !-- So far in the ocean no special treatment of density flux in the |
---|
957 | !-- bottom and top surface layer |
---|
958 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
959 | tend(k,j,i) = tend(k,j,i) + kh(k,j,i) * g / rho_reference * & |
---|
960 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
961 | ENDDO |
---|
962 | |
---|
963 | ELSE |
---|
964 | |
---|
965 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
966 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt_reference * & |
---|
967 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
968 | ENDDO |
---|
969 | |
---|
970 | IF ( use_surface_fluxes ) THEN |
---|
971 | k = nzb_diff_s_inner(j,i)-1 |
---|
972 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
---|
973 | ENDIF |
---|
974 | |
---|
975 | IF ( use_top_fluxes ) THEN |
---|
976 | k = nzt |
---|
977 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
---|
978 | ENDIF |
---|
979 | |
---|
980 | ENDIF |
---|
981 | |
---|
982 | ELSE |
---|
983 | |
---|
984 | IF ( ocean ) THEN |
---|
985 | ! |
---|
986 | !-- So far in the ocean no special treatment of density flux in the |
---|
987 | !-- bottom and top surface layer |
---|
988 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
989 | tend(k,j,i) = tend(k,j,i) + kh(k,j,i) * g / rho(k,j,i) * & |
---|
990 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
---|
991 | ENDDO |
---|
992 | |
---|
993 | ELSE |
---|
994 | |
---|
995 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
996 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / pt(k,j,i) * & |
---|
997 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
998 | ENDDO |
---|
999 | |
---|
1000 | IF ( use_surface_fluxes ) THEN |
---|
1001 | k = nzb_diff_s_inner(j,i)-1 |
---|
1002 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
1003 | ENDIF |
---|
1004 | |
---|
1005 | IF ( use_top_fluxes ) THEN |
---|
1006 | k = nzt |
---|
1007 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
1008 | ENDIF |
---|
1009 | |
---|
1010 | ENDIF |
---|
1011 | |
---|
1012 | ENDIF |
---|
1013 | |
---|
1014 | ELSE |
---|
1015 | |
---|
1016 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
1017 | |
---|
1018 | IF ( .NOT. cloud_physics ) THEN |
---|
1019 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1020 | k2 = 0.61 * pt(k,j,i) |
---|
1021 | ELSE |
---|
1022 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1023 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1024 | k2 = 0.61 * pt(k,j,i) |
---|
1025 | ELSE |
---|
1026 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1027 | temp = theta * t_d_pt(k) |
---|
1028 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1029 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1030 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1031 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1032 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1033 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1034 | ENDIF |
---|
1035 | ENDIF |
---|
1036 | |
---|
1037 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
1038 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
1039 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
1040 | ) * dd2zu(k) |
---|
1041 | ENDDO |
---|
1042 | |
---|
1043 | IF ( use_surface_fluxes ) THEN |
---|
1044 | k = nzb_diff_s_inner(j,i)-1 |
---|
1045 | |
---|
1046 | IF ( .NOT. cloud_physics ) THEN |
---|
1047 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1048 | k2 = 0.61 * pt(k,j,i) |
---|
1049 | ELSE |
---|
1050 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1051 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1052 | k2 = 0.61 * pt(k,j,i) |
---|
1053 | ELSE |
---|
1054 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1055 | temp = theta * t_d_pt(k) |
---|
1056 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1057 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1058 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1059 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1060 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1061 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1062 | ENDIF |
---|
1063 | ENDIF |
---|
1064 | |
---|
1065 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1066 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
1067 | ENDIF |
---|
1068 | |
---|
1069 | IF ( use_top_fluxes ) THEN |
---|
1070 | k = nzt |
---|
1071 | |
---|
1072 | IF ( .NOT. cloud_physics ) THEN |
---|
1073 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1074 | k2 = 0.61 * pt(k,j,i) |
---|
1075 | ELSE |
---|
1076 | IF ( ql(k,j,i) == 0.0 ) THEN |
---|
1077 | k1 = 1.0 + 0.61 * q(k,j,i) |
---|
1078 | k2 = 0.61 * pt(k,j,i) |
---|
1079 | ELSE |
---|
1080 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
1081 | temp = theta * t_d_pt(k) |
---|
1082 | k1 = ( 1.0 - q(k,j,i) + 1.61 * & |
---|
1083 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
1084 | ( 1.0 + 0.622 * l_d_r / temp ) ) / & |
---|
1085 | ( 1.0 + 0.622 * l_d_r * l_d_cp * & |
---|
1086 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
1087 | k2 = theta * ( l_d_cp / temp * k1 - 1.0 ) |
---|
1088 | ENDIF |
---|
1089 | ENDIF |
---|
1090 | |
---|
1091 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
1092 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
1093 | ENDIF |
---|
1094 | |
---|
1095 | ENDIF |
---|
1096 | |
---|
1097 | END SUBROUTINE production_e_ij |
---|
1098 | |
---|
1099 | |
---|
1100 | SUBROUTINE production_e_init |
---|
1101 | |
---|
1102 | USE arrays_3d |
---|
1103 | USE control_parameters |
---|
1104 | USE grid_variables |
---|
1105 | USE indices |
---|
1106 | |
---|
1107 | IMPLICIT NONE |
---|
1108 | |
---|
1109 | INTEGER :: i, j, ku, kv |
---|
1110 | |
---|
1111 | IF ( prandtl_layer ) THEN |
---|
1112 | |
---|
1113 | IF ( first_call ) THEN |
---|
1114 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
---|
1115 | u_0 = 0.0 ! just to avoid access of uninitialized memory |
---|
1116 | v_0 = 0.0 ! within exchange_horiz_2d |
---|
1117 | first_call = .FALSE. |
---|
1118 | ENDIF |
---|
1119 | |
---|
1120 | ! |
---|
1121 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
1122 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
1123 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
1124 | !-- production term at k=1 (see production_e_ij). |
---|
1125 | !-- The velocity gradient has to be limited in case of too small km |
---|
1126 | !-- (otherwise the timestep may be significantly reduced by large |
---|
1127 | !-- surface winds). |
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1128 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
---|
1129 | !-- not available in case of non-cyclic boundary conditions. |
---|
1130 | !-- WARNING: the exact analytical solution would require the determination |
---|
1131 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
1132 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
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1133 | DO i = nxl, nxr+1 |
---|
1134 | DO j = nys, nyn+1 |
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1135 | |
---|
1136 | ku = nzb_u_inner(j,i)+1 |
---|
1137 | kv = nzb_v_inner(j,i)+1 |
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1138 | |
---|
1139 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
---|
1140 | ( 0.5 * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
---|
1141 | 1.0E-20 ) |
---|
1142 | ! ( us(j,i) * kappa * zu(1) ) |
---|
1143 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
---|
1144 | ( 0.5 * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
---|
1145 | 1.0E-20 ) |
---|
1146 | ! ( us(j,i) * kappa * zu(1) ) |
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1147 | |
---|
1148 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
---|
1149 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
---|
1150 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
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1151 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
---|
1152 | |
---|
1153 | ENDDO |
---|
1154 | ENDDO |
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1155 | |
---|
1156 | CALL exchange_horiz_2d( u_0 ) |
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1157 | CALL exchange_horiz_2d( v_0 ) |
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1158 | |
---|
1159 | ENDIF |
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1160 | |
---|
1161 | END SUBROUTINE production_e_init |
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1162 | |
---|
1163 | END MODULE production_e_mod |
---|